SimpsonIntegral (HM Gears 0.10.7 API)

java.lang.Object
- org.hortonmachine.gears.utils.math.integration.SimpsonIntegral

Direct Known Subclasses:

ConvolutionDiffusionDischarge, ConvolutionDiffusionWidth, ConvolutionExponential, ConvolutionExponentialPeakflow
```
public abstract class SimpsonIntegral
extends Object
```
Author:

Andrea Antonello (www.hydrologis.com)

Field Summary

Fields
Modifier and Type	Field	Description
`protected double`	`accuracy`
`protected double`	`lowerlimit`
`protected int`	`maxsteps`
`static int`	`SIMPSON`
`protected double`	`strapezoid`
`static int`	`TRAPEZOIDAL`
`protected double`	`upperlimit`

Constructor Summary

Constructors
Constructor Description

SimpsonIntegral()

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods
Modifier and Type	Method	Description
`protected abstract double`	`equation(double x)`	Equation to integrate
`protected double`	`simpson()`	Calculate the integral with the simpson method of the equation implemented in the method equation
`protected double`	`trapezoid(int n)`	Calculate the integral with the trapezoidal algorithm of the equation implemented in the method equation

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - SIMPSON
```
public static final int SIMPSON
```
    See Also:
    
    Constant Field Values
  - TRAPEZOIDAL
```
public static final int TRAPEZOIDAL
```
    See Also:
    
    Constant Field Values
  - strapezoid
```
protected double strapezoid
```
  - lowerlimit
```
protected double lowerlimit
```
  - upperlimit
```
protected double upperlimit
```
  - maxsteps
```
protected int maxsteps
```
  - accuracy
```
protected double accuracy
```
- Constructor Detail
  - SimpsonIntegral
```
public SimpsonIntegral()
```
- Method Detail
  - simpson
```
protected double simpson()
```
    Calculate the integral with the simpson method of the equation implemented in the method equation
    
    Returns:
    
    Throws:
    
    Exception
  - trapezoid
```
protected double trapezoid(int n)
```
    Calculate the integral with the trapezoidal algorithm of the equation implemented in the method equation
    
    Parameters:
    
    n - - number of steps to perform
    
    Returns:
  - equation
```
protected abstract double equation(double x)
```
    Equation to integrate
    
    Parameters:
    
    x - - point in which to calculate the function
    
    Returns: